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author:

Tan, Y.-J. (Tan, Y.-J..) [1]

Indexed by:

Scopus

Abstract:

In this paper, generalized fuzzy matrices are considered as matrices over a special type of semiring which is called path algebra. Some properties and characterizations for nilpotent generalized fuzzy matrices are established, reduction of generalized fuzzy matrices is defined and some properties of reduction of nilpotent generalized fuzzy matrices are obtained. Partial results obtained in this paper generalize the corresponding ones on fuzzy matrices, on lattice matrices and on incline matrices. © 2010 Elsevier B.V. All rights reserved.

Keyword:

Algebra; Generalized fuzzy matrix; Nilpotent matrix; Path algebra; Reduction of matrix

Community:

  • [ 1 ] [Tan, Y.-J.]Department of Mathematics, Fuzhou University, Fuzhou 350108, China

Reprint 's Address:

  • [Tan, Y.-J.]Department of Mathematics, Fuzhou University, Fuzhou 350108, China

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Source :

Fuzzy Sets and Systems

ISSN: 0165-0114

Year: 2010

Issue: 16

Volume: 161

Page: 2213-2226

1 . 8 7 5

JCR@2010

3 . 2 0 0

JCR@2023

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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